Value sets of bivariate Chebyshev maps over finite fields

KÜÇÜKSAKALLI Ö.

FINITE FIELDS AND THEIR APPLICATIONS, vol.36, pp.189-202, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36
  • Publication Date: 2015
  • Doi Number: 10.1016/j.ffa.2015.08.005
  • Journal Name: FINITE FIELDS AND THEIR APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.189-202
  • Middle East Technical University Affiliated: Yes

Abstract

We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expressions of their fixed points in terms of roots of unity. (C) 2015 Elsevier Inc. All rights reserved.